Solve p^26816-36 - ScanMath

Question

Simplify the expression

6816 p^{2} - 36

Evaluate

p^{2} \times 6816 - 36

Solution

6816 p^{2} - 36

Show Solution

12 (568 p^{2} - 3)

Evaluate

p^{2} \times 6816 - 36

Use the commutative property to reorder the terms

6816 p^{2} - 36

Solution

12 (568 p^{2} - 3)

Show Solution

p_{1} = - \frac{426}{284}, p_{2} = \frac{426}{284}

Alternative Form

p_{1} \approx - 0.072675, p_{2} \approx 0.072675

Evaluate

p^{2} \times 6816 - 36

To find the roots of the expression,set the expression equal to 0

p^{2} \times 6816 - 36 = 0

Use the commutative property to reorder the terms

6816 p^{2} - 36 = 0

Move the constant to the right-hand side and change its sign

6816 p^{2} = 0 + 36

Removing 0 doesn't change the value,so remove it from the expression

6816 p^{2} = 36

Divide both sides

\frac{6816 p ^{2}}{6816} = \frac{36}{6816}

Divide the numbers

p^{2} = \frac{36}{6816}

Cancel out the common factor 12

p^{2} = \frac{3}{568}

Take the root of both sides of the equation and remember to use both positive and negative roots

p = \pm \frac{3}{568}

Simplify the expression

More Steps

Evaluate

\frac{3}{568}

To take a root of a fraction,take the root of the numerator and denominator separately

\frac{3}{568}

Simplify the radical expression

More Steps

Evaluate

568

Write the expression as a product where the root of one of the factors can be evaluated

4 \times 142

Write the number in exponential form with the base of 2

2^{2} \times 142

The root of a product is equal to the product of the roots of each factor

2^{2} \times 142

Reduce the index of the radical and exponent with 2

2142

\frac{3}{2 142}

Multiply by the Conjugate

\frac{3 \times 142}{2 142 \times 142}

Multiply the numbers

More Steps

Evaluate

3 \times 142

The product of roots with the same index is equal to the root of the product

3 \times 142

Calculate the product

426

\frac{426}{2 142 \times 142}

Multiply the numbers

More Steps

Evaluate

2142 \times 142

When a square root of an expression is multiplied by itself,the result is that expression

2 \times 142

Multiply the terms

284

\frac{426}{284}

p = \pm \frac{426}{284}

Separate the equation into 2 possible cases

p = \frac{426}{284} p = - \frac{426}{284}

Solution

p_{1} = - \frac{426}{284}, p_{2} = \frac{426}{284}

Alternative Form

p_{1} \approx - 0.072675, p_{2} \approx 0.072675

Show Solution